Results 51 to 60 of about 10,613 (298)

Positive Solutions for Nonlinear q-Fractional Difference Eigenvalue Problem with Nonlocal Conditions

open access: yesAbstract and Applied Analysis, 2015
The problem of positive solutions for nonlinear q-fractional difference eigenvalue problem with nonlocal boundary conditions is investigated. Based on the fixed point index theory in cones, sufficient existence of positive solutions conditions is derived
Wafa Shammakh, Maryam Al-Yami
doaj   +1 more source

Positive eigenvector of nonlinear eigenvalue problem with a singular M-matrix and Newton-SOR iterative solution

open access: yesJournal of Inequalities and Applications, 2016
Some sufficient conditions are proposed in this paper such that the nonlinear eigenvalue problem with an irreducible singular M-matrix has a unique positive eigenvector.
Cheng-yi Zhang   +2 more
doaj   +1 more source

Nontrivial solutions of variational inequalities. The degenerate case [PDF]

open access: yes, 2001
We consider a class of asymptotically linear variational inequalities. We show the existence of a nontrivial solution under assumptions which allow the problem to be degenerate at the ...
Lancelotti, Sergio
core  

Eigenvalue Problem for the Second Order Differential Equation with Nonlocal

open access: yes, 2006
The paper deals with numerical methods for eigenvalue problem for the second order ordinary differential operator with variable coefficient subject to nonlocal integral condition.
Sapagovas, M.   +3 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

A one dimensional Hammerstein problem

open access: yesElectronic Journal of Differential Equations, 1999
Nonlinear equations of the form $L[u]=lambda g(u)$ where $L$ is a linear operator on a function space and $g$ maps $u$ to the composition function $gcirc u$ arise in the theory of spontaneous combustion.
Jun Hua, James L. Moseley
doaj  

Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]

open access: yes, 1972
The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
core   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

open access: yesAdvanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems

open access: yesJournal of Applied Mathematics, 2017
The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local ...
El-Sayed M. E. Mostafa   +2 more
doaj   +1 more source

What Do You Mean by “Nonlinear Eigenvalue Problems”?

open access: yesAxioms, 2018
A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, where F(λ,0)=0 for all λ, and contains by definition two unknowns: the eigenvalue parameter λ and the “nontrivial” vector(s)
Raffaele Chiappinelli
doaj   +1 more source

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